2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67032We prove that a submaximal plane curve (i.e., an irreducible counterexample to Nagata's conjecture) with r singular points has sequence of multiplicities (m, n, ..., n) with m<sn for every integer with ((s-1)(s+2))^2 > 6.76(r-1).4 pagesAlgebraic Geometry14C20text